inria-00110560, version 1

Nonsmooth fracture dynamics using a cohesive zone approach

Vincent Acary () ¹, Yann Monerie ²

(2006)

• 1:  BIPOP (INRIA Rhône-Alpes)
• 
  INRIA France
• 2:  Institut de radioprotection et de sûreté nucléaire (IRSN)
• http://www.irsn.org/
  Ministère de l'écologie de l'Energie, du Développement durable et de l'Aménagement du territoire – Ministère de l'économie, de l'industrie et de l'emploi – Ministère de l'Enseignement Supérieur et de la Recherche Scientifique – Ministère de la Défense – Ministère de la santé BP17 92262 Fontenay-aux-Roses Cedex France

Available versions :  v1 (2006-10-30) v2 (2006-11-27)

Bibliographic reference

• Type of document: Research reports
• Domain:

  Mathematics/Numerical Analysis

  Physics/Mechanics/Mechanics of materials

  Physics/Mechanics/Mechanics of the solides

  Physics/Mechanics/Mechanics of the structures

• Title: Nonsmooth fracture dynamics using a cohesive zone approach
• Abstract: This article is devoted to the comprehension, the prediction and the numerical simulation of dynamic fracture for a wide variety of materials and structures. The main contribution concerns the prediction of the entire fracture process from crack initiation, growth, propagation, and final rupture, to post fracture behavior such as unilateral contact and dry friction interactions between created fragments after fracture. The new Non Smooth Fracture Dynamics (NSFD) approach presented in this paper is thus based on three main features: a) a surface-volumetric multibody approach using mixed boundary conditions between each volumetric finite elements and/or rigid bodies, b) the development of a generic formulation of the cohesive zone models dedicated to a wide variety of materials and physical phenomena, and incorporating unilateral contact and Coulomb's dry friction and c) a specific nonsmooth dynamical framework based on measure differential inclusions and an associated implicit time--integration scheme allowing the numerical treatment of nonsmooth events such as impacts due to unilateral constraints.
• ACM Classification: G.: Mathematics of Computing/G.1: NUMERICAL ANALYSIS/G.1.8: Partial Differential Equations
• Full text language: English
• Report type: Research Report
• Page number: 56
• Publication date: 2006
• Keywords: Cohesive Zone Model – Fracture Dynamics – Nonsmooth behavior – Differential inclusion – Friction – Contact Mechanics – Damage – Numerical methods
• Writing date: 2006

Attached file list to this document: 

• inria-00110560, version 1
• http://hal.inria.fr/inria-00110560
• oai:hal.inria.fr:inria-00110560
• From: Vincent Acary <>
• Submitted on: Monday, 30 October 2006 17:45:51
• Updated on: Monday, 30 October 2006 17:58:58